The topological obstructions to the existence of an irreducible SO(3) structure on a five manifold

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107385A nonstandard (maximal) inclusion SO(3) in SO(5) associated with the irreducible representation ρ_5 of SO(3) in R^5 is considered. The topological obstructions for admitting the SO(3) structure on the frame bundle over 5-manifold are investigated. The necessary and sufficient conditions are formulated.7 pagesDifferential Geometry57R15,53C10,53C15The topological obstructions to the existence of an irreducible SO(3) structure on a five manifoldtext